Abstract

We employ an especially simple form of the kinetic theory for identical, frictionless, nearly elastic spheres that applies to relatively dense aggregates in which the fluxes of momentum and energy in a shearing flow are due to interparticle collisions rather than to transport between collisions (e.g. [4]). The theory consists of balance equations for the particle mass, momentum, and energy and constitutive relations that relate the fluxes of momentum and energy to the mean fields of mass density, velocity, and energy and the spatial gradients of velocity and energy.

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